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Finding the Fourth Proportional to 584,877.54, 875,320.20 and 490,214.58

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Solution

The fourth proportional to 584,877.54, 875,320.20 and 490,214.58 is: 733,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,877.54 : 875,320.20 = 490,214.58 : x
  2. Step 2: Convert to fraction form
    584,877.54/875,320.20 = 490,214.58/x
  3. Step 3: Cross multiply
    584,877.54x = 875,320.20 × 490,214.58
  4. Step 4: Simplify right side
    584,877.54x = 429,094,724,208.52
  5. Step 5: Solve for x
    x = 429,094,724,208.52/584,877.54
  6. Step 6: Final answer
    x = 733,648.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.